On the residual norms, the Ritz values and the harmonic Ritz values that can be generated by restarted GMRES

Jurjen Duintjer Tebbens; Gérard Meurant

doi:10.1007/s11075-019-00846-z

On the residual norms, the Ritz values and the harmonic Ritz values that can be generated by restarted GMRES

Numerical Algorithms ◽

10.1007/s11075-019-00846-z ◽

2019 ◽

Vol 84 (4) ◽

pp. 1329-1352

Author(s):

Jurjen Duintjer Tebbens ◽

Gérard Meurant

Keyword(s):

Ritz Values ◽

Harmonic Ritz Values ◽

Restarted Gmres

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A note on harmonic Ritz values and their reciprocals

Numerical Linear Algebra with Applications ◽

10.1002/nla.653 ◽

2009 ◽

Vol 17 (1) ◽

pp. 97-108 ◽

Cited By ~ 2

Author(s):

Christof Vömel

Keyword(s):

Ritz Values ◽

Harmonic Ritz Values

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Ritz and harmonic Ritz values and the convergence of FOM and GMRES

Numerical Linear Algebra with Applications ◽

10.1002/(sici)1099-1506(199906)6:4<281::aid-nla158>3.0.co;2-b ◽

1999 ◽

Vol 6 (4) ◽

pp. 281-293 ◽

Cited By ~ 20

Author(s):

Serge Goossens ◽

Dirk Roose

Keyword(s):

Ritz Values ◽

Harmonic Ritz Values

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The convergence of harmonic Ritz values, harmonic Ritz vectors and refined harmonic Ritz vectors

Mathematics of Computation ◽

10.1090/s0025-5718-04-01684-9 ◽

2004 ◽

Vol 74 (251) ◽

pp. 1441-1457 ◽

Cited By ~ 28

Author(s):

Zhongxiao Jia

Keyword(s):

Ritz Values ◽

Ritz Vectors ◽

Harmonic Ritz Values

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The Convergence of Harmonic Ritz Vectors and Harmonic Ritz Values, Revisited

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/16m106755x ◽

2017 ◽

Vol 38 (1) ◽

pp. 118-133 ◽

Cited By ~ 3

Author(s):

Gang Wu

Keyword(s):

Ritz Values ◽

Ritz Vectors ◽

Harmonic Ritz Values

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Restarted GMRES preconditioned by deflation

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(95)00047-x ◽

1996 ◽

Vol 69 (2) ◽

pp. 303-318 ◽

Cited By ~ 129

Author(s):

Jocelyne Erhel ◽

Kevin Burrage ◽

Bert Pohl

Keyword(s):

Restarted Gmres

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An Investigation of Restarted GMRES Method by Using Flexible Starting Vectors

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2010.33.4 ◽

2010 ◽

Vol 3 (3) ◽

pp. 338-351

Author(s):

Qiang Niu and Lin-Zhang Lu

Keyword(s):

Gmres Method ◽

Restarted Gmres

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Majorization Bounds for Ritz Values of Self-Adjoint Matrices

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/19m1263996 ◽

2020 ◽

Vol 41 (2) ◽

pp. 554-572

Author(s):

Pedro G. Massey ◽

Demetrio Stojanoff ◽

Sebastian Zarate

Keyword(s):

Ritz Values

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Ritz and Pseudo-Ritz values using matrix polynomials

Linear Algebra and its Applications ◽

10.1016/0024-3795(95)00682-6 ◽

1996 ◽

Vol 241-243 ◽

pp. 787-801

Author(s):

V. Simoncini

Keyword(s):

Ritz Values ◽

Matrix Polynomials

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Convergence conditions for a restarted GMRES method augmented with eigenspaces

Numerical Linear Algebra with Applications ◽

10.1002/nla.421 ◽

2004 ◽

Vol 12 (4) ◽

pp. 373-390 ◽

Cited By ~ 1

Author(s):

Jan Zítko

Keyword(s):

Gmres Method ◽

Convergence Conditions ◽

Restarted Gmres

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On the use of ritz values for calculating the number of endmembers in hyperspectral images

2014 6th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS) ◽

10.1109/whispers.2014.8077553 ◽

2014 ◽

Author(s):

Raul Guerra ◽

Sebastian Lopez ◽

Gustavo M. Callico ◽

Jose F. Lopez ◽

Roberto Sarmiento

Keyword(s):

Hyperspectral Images ◽

Ritz Values

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